On the composition of Frostman Blaschke products

John R. Akeroyd; Pamela Gorkin

Studia Mathematica (2013)

  • Volume: 219, Issue: 2, page 177-191
  • ISSN: 0039-3223

Abstract

top
We construct an infinite uniform Frostman Blaschke product B such that B ∘ B is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the uniform norm.

How to cite

top

John R. Akeroyd, and Pamela Gorkin. "On the composition of Frostman Blaschke products." Studia Mathematica 219.2 (2013): 177-191. <http://eudml.org/doc/285775>.

@article{JohnR2013,
abstract = {We construct an infinite uniform Frostman Blaschke product B such that B ∘ B is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the uniform norm.},
author = {John R. Akeroyd, Pamela Gorkin},
journal = {Studia Mathematica},
keywords = {inner function; uniform Frostman product; Blaschke product},
language = {eng},
number = {2},
pages = {177-191},
title = {On the composition of Frostman Blaschke products},
url = {http://eudml.org/doc/285775},
volume = {219},
year = {2013},
}

TY - JOUR
AU - John R. Akeroyd
AU - Pamela Gorkin
TI - On the composition of Frostman Blaschke products
JO - Studia Mathematica
PY - 2013
VL - 219
IS - 2
SP - 177
EP - 191
AB - We construct an infinite uniform Frostman Blaschke product B such that B ∘ B is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the uniform norm.
LA - eng
KW - inner function; uniform Frostman product; Blaschke product
UR - http://eudml.org/doc/285775
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.